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Finding the Fourth Proportional to 481.71, 725.43 and 449.31

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Solution

The fourth proportional to 481.71, 725.43 and 449.31 is: 676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.71 : 725.43 = 449.31 : x
  2. Step 2: Convert to fraction form
    481.71/725.43 = 449.31/x
  3. Step 3: Cross multiply
    481.71x = 725.43 × 449.31
  4. Step 4: Simplify right side
    481.71x = 325,942.95
  5. Step 5: Solve for x
    x = 325,942.95/481.71
  6. Step 6: Final answer
    x = 676.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.